Now showing items 1-10 of 134
NATURAL TOPOLOGIES ON COLOMBEAU ALGEBRAS
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2009)
We define intrinsic, natural and metrizable topologies T(Omega), T, T(s,Omega) and T(s) in G(Omega), (K) over bar, G(s)(Omega) and (K) over bar (s) respectively. The topology T(Omega) induces T, T(s,Omega) and T(s). The ...
Hilbert algebras with a necessity modal operator
(Jagiellonian University, 2014-10)
We introduce the variety of Hilbert algebras with a modal operator , called H -algebras. The variety of H -algebras is the algebraic counterpart of the f!; g-fragment of the intuitionitic modal logic IntK . We will study ...
Spectral-like duality for distributive Hilbert algebras with infimum
Distributive Hilbert algebras with infimum, or DH^-algebras for short, are algebras with implication and conjunction, in which the implication and the conjunction do not necessarily satisfy the residuation law. These ...
ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS
(CAMBRIDGE UNIV PRESS, 2008)
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started ...
Tempered generalized functions and Hermite expansions
(Pergamon-elsevier Science LtdOxfordInglaterra, 2011)
Evolution of probability measures by cellular automata on algebraic topological Markov chains
(Sociedad de Biología de Chile, 2003)
MV-closures of Wajsberg hoops and applications
In this paper we construct, given a Wajsberg hoop A, an MV-algebra MV(A) such that the underlying set A of A is a maximal filter of MV(A) and the quotient MV(A)/A is the two element chain. As an application we provide a ...
ON TWO-DIMENSIONAL QUASITOPOLOGICAL FIELD THEORIES
(WORLD SCIENTIFIC PUBL CO PTE LTDSingapura, 2009)
We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semisimple Hopf algebras. ...
Algebra and topology on the Dedekind completion of a totally ordered abelian group
(ELSEVIER SCIENCE BV, 2013)
Algebraic geometry of topological spaces I
(Institut Mittag-Leffler, 2012-09)
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...